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Finding the Fourth Proportional to 13,533.99, 20,296.67 and 4,297.83

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Solution

The fourth proportional to 13,533.99, 20,296.67 and 4,297.83 is: 6,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.99 : 20,296.67 = 4,297.83 : x
  2. Step 2: Convert to fraction form
    13,533.99/20,296.67 = 4,297.83/x
  3. Step 3: Cross multiply
    13,533.99x = 20,296.67 × 4,297.83
  4. Step 4: Simplify right side
    13,533.99x = 87,231,615.74
  5. Step 5: Solve for x
    x = 87,231,615.74/13,533.99
  6. Step 6: Final answer
    x = 6,445.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.